@BearEastie
You would not be at any greater risk of catching covid from me in my PPE, than I have been of catching it from all the patients I've seen in all the time before the vaccine was available.
That's actually a really vile attitude
I don't agree that this statement of fact is in any way a 'vile attitude''
It's simply a fact. You are not at any greater risk of catching Covid from a HCP who is wearing appropriate PPE 
But, although I can understand your fears, I think you are totally unreasonable to ask any HCP for private health information at any time.
You are entitled to make your fears/concerns known to the medical staff treating you, but it will not make any difference to which HCP's you are treated by, as they are not entitled to ask staff for private medical information either. But you can ensure that no HCP comes near you without wearing the appropriate PPE simply by being observant and polite but insistent.
Covid has changed all our lives, and not for the better. We are in uncharted territory with the vaccines and how they will affect transmission.
However we are not living in a dictatorship, and your personal/private medical information is not going to suddenly be made available to anyone who wants to know about it and it will never be your right to demand to know anyone else's vaccine status.
You are going to have to decide whether you want/need this medical treatment, knowing you cannot have control over the HCP's who will provide it and whether they have had the vaccine or not. ( You also won't be able to 'police' visitors to the ward/area either)
P.S A lot of the consultants/ doctors and medical students have also declined to have the vaccine in my area, as have a lot of secretaries, porters, cleaners, receptionists etc, all of whom have been mixing with their families, been shopping, mixing with other HCP's in staff break areas etc too.
I wish you the very best with your health, and I hope everything goes well for you with the treatment you need. 